TY - JOUR
T1 - A Homotopy Method of Switching Solution Branches at the Pitchfork Bifurcation Point
AU - Cong , Yu-Hao
AU - Zhu , Zheng-You
JO - Journal of Computational Mathematics
VL - 3
SP - 299
EP - 308
PY - 2001
DA - 2001/06
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8982.html
KW - Homotopy method, Switching solution branches, Pitchfork point.
AB - <p style="text-align: justify;">By introducing proper parameters in the original nonlinear systems, a continuation method for switching solution branches at a pitchfork point is proposed and their theories have been established in this paper. It is sufficient to implement this method that a standard continuation procedure is only used. Some numerical examples are given to illustrate the effectiveness of this method. &nbsp;</p>